Thanks Theirry, sounds like a good plan.

I proved this today as a first step towards itgsplit, does anyone have 
suggestions for a better name for it than splitrr, or should it be rrsplit? 
Also does this result already exist and I couldn't find it? 

splitrr.1 $e |- Q e. RR $.
splitrr.2 $e |- R = ( -oo (,] Q ) $.
splitrr.3 $e |- S = ( Q [,) +oo ) $.
splitrr $p |- RR = ( R u. S ) $=

Full text here <https://pastebin.com/pTbXanej> if interested.

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